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The Schrödinger-Virasoro Algebra Mathematical structure and dynamical Schrödinger symmetries /

This monograph provides the first up-to-date and self-contained presentation of a recently discovered mathematical structure-the Schrödinger-Virasoro algebra. Just as Poincaré invariance or conformal (Virasoro) invariance play a key role in understanding, respectively, elementary particles and two...

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Detalles Bibliográficos
Clasificación:Libro Electrónico
Autores principales: Unterberger, Jérémie (Autor), Roger, Claude (Autor)
Autor Corporativo: SpringerLink (Online service)
Formato: Electrónico eBook
Idioma:Inglés
Publicado: Berlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer, 2012.
Edición:1st ed. 2012.
Colección:Theoretical and Mathematical Physics,
Temas:
Acceso en línea:Texto Completo

MARC

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100 1 |a Unterberger, Jérémie.  |e author.  |4 aut  |4 http://id.loc.gov/vocabulary/relators/aut 
245 1 4 |a The Schrödinger-Virasoro Algebra  |h [electronic resource] :  |b Mathematical structure and dynamical Schrödinger symmetries /  |c by Jérémie Unterberger, Claude Roger. 
250 |a 1st ed. 2012. 
264 1 |a Berlin, Heidelberg :  |b Springer Berlin Heidelberg :  |b Imprint: Springer,  |c 2012. 
300 |a XLII, 302 p.  |b online resource. 
336 |a text  |b txt  |2 rdacontent 
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490 1 |a Theoretical and Mathematical Physics,  |x 1864-5887 
505 0 |a Introduction -- Geometric Definitions of SV -- Basic Algebraic and Geometric Features -- Coadjoint Representaion -- Induced Representations and Verma Modules -- Coinduced Representations -- Vertex Representations -- Cohomology, Extensions and Deformations -- Action of sv on Schrödinger and Dirac Operators -- Monodromy of Schrödinger Operators -- Poisson Structures and Schrödinger Operators -- Supersymmetric Extensions of sv -- Appendix to chapter 6 -- Appendix to chapter 11 -- Index. 
520 |a This monograph provides the first up-to-date and self-contained presentation of a recently discovered mathematical structure-the Schrödinger-Virasoro algebra. Just as Poincaré invariance or conformal (Virasoro) invariance play a key role in understanding, respectively, elementary particles and two-dimensional equilibrium statistical physics, this algebra of non-relativistic conformal symmetries may be expected to apply itself naturally to the study of some models of non-equilibrium statistical physics, or more specifically in the context of recent developments related to the non-relativistic AdS/CFT correspondence.   The study of the structure of this infinite-dimensional Lie algebra touches upon topics as various as statistical physics, vertex algebras, Poisson geometry, integrable systems and supergeometry as well as representation theory, the cohomology of infinite-dimensional Lie algebras, and the spectral theory of Schrödinger operators. . 
650 0 |a Mathematical physics. 
650 0 |a Topological groups. 
650 0 |a Lie groups. 
650 0 |a Algebra, Homological. 
650 0 |a System theory. 
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650 2 4 |a Topological Groups and Lie Groups. 
650 2 4 |a Mathematical Physics. 
650 2 4 |a Category Theory, Homological Algebra. 
650 2 4 |a Complex Systems. 
650 2 4 |a Theoretical, Mathematical and Computational Physics. 
700 1 |a Roger, Claude.  |e author.  |4 aut  |4 http://id.loc.gov/vocabulary/relators/aut 
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